3123506992320 has 2688 divisors, whose sum is σ = 13932032486400. Its totient is φ = 657244938240.

The previous prime is 3123506992301. The next prime is 3123506992423. The reversal of 3123506992320 is 232996053213.

It is a happy number.

3123506992320 is a `hidden beast` number, since 3 + 1 + 2 + 350 + 69 + 9 + 232 + 0 = 666.

3123506992320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52940796451 + ... + 52940796509.

It is an arithmetic number, because the mean of its divisors is an integer number (5183047800).

Almost surely, 2^{3123506992320} is an apocalyptic number.

3123506992320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123506992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966016243200).

3123506992320 is an abundant number, since it is smaller than the sum of its proper divisors (10808525494080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3123506992320 is a wasteful number, since it uses less digits than its factorization.

3123506992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3123506992320 in words is "three trillion, one hundred twenty-three billion, five hundred six million, nine hundred ninety-two thousand, three hundred twenty".